381488640 has 160 divisors (see below), whose sum is σ = 1313728416. Its totient is φ = 93880320.

The previous prime is 381488617. The next prime is 381488651. The reversal of 381488640 is 46884183.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 381488592 and 381488601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97930 + ... + 101750.

Almost surely, 2^381488640 is an apocalyptic number.

381488640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656864208).

381488640 is an abundant number, since it is smaller than the sum of its proper divisors (932239776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

381488640 is a wasteful number, since it uses less digits than its factorization.

381488640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 381488640 is about 19531.7341779986. The cubic root of 381488640 is about 725.2602410968.

The spelling of 381488640 in words is "three hundred eighty-one million, four hundred eighty-eight thousand, six hundred forty".